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Finding the Fourth Proportional to 530.69, 732.35 and 323.69

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Solution

The fourth proportional to 530.69, 732.35 and 323.69 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 732.35 = 323.69 : x
  2. Step 2: Convert to fraction form
    530.69/732.35 = 323.69/x
  3. Step 3: Cross multiply
    530.69x = 732.35 × 323.69
  4. Step 4: Simplify right side
    530.69x = 237,054.37
  5. Step 5: Solve for x
    x = 237,054.37/530.69
  6. Step 6: Final answer
    x = 446.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.